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Finding the Fourth Proportional to 744.24, 1,027.15 and 429.44

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Solution

The fourth proportional to 744.24, 1,027.15 and 429.44 is: 592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.24 : 1,027.15 = 429.44 : x
  2. Step 2: Convert to fraction form
    744.24/1,027.15 = 429.44/x
  3. Step 3: Cross multiply
    744.24x = 1,027.15 × 429.44
  4. Step 4: Simplify right side
    744.24x = 441,099.30
  5. Step 5: Solve for x
    x = 441,099.30/744.24
  6. Step 6: Final answer
    x = 592.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.